On stable rationality of Fano threefolds and del Pezzo fibrations

Abstract

We prove that very general non-rational Fano threefolds which are not birational to cubic threefolds are not stably rational.

21 pages

Cited by in corpus (9)

• Stable rationality of cyclic covers of projective spaces
• Torsion orders of complete intersections
• Cycles, derived categories, and rationality
• Stable rationality of del Pezzo fibrations of low degree over projective spaces
• Models of Brauer-Severi surface bundles
• Stable rationality of orbifold Fano threefold hypersurfaces
• Intersections of three quadrics in ${\mathbb{P}}^7$
• Brauer groups of involution surface bundles
• Smooth weighted hypersurfaces that are not stably rational